Issue:From fuzzy to intuitionistic fuzzy: Easy and lazy

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http://ifigenia.org/wiki/issue:nifs/19/3/51-55
Title of paper: From fuzzy to intuitionistic fuzzy: Easy and lazy
Author(s):
Vassia Atanassova
Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., Block 105, Sofia 1113, Bulgaria
vassia.atanassovaAt sign.pnggmail.com
Presented at: 17th International Conference on Intuitionistic Fuzzy Sets, 1–2 November 2013, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 19, 2013, Number 3, pages 51—55
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Abstract: A simple approach is proposed for generating a single intuitionistic fuzzy set from two or more fuzzy sets, defined over the same universe. The membership and the nonmembership functions of the constructed intuitionistic fuzzy set are obtained by calculating the minimum and the maximum functions of the given fuzzy sets, with all the rest values lying within the so formed ‘belt’ of uncertainty in the resultant intuitionistic fuzzy set.
Keywords: Fuzzy sets, Intuitionistic fuzzy sets, I-fuzzification.
AMS Classification: 03E72
References:
  1. Atanassov, K. On Intuitionistic Fuzzy Sets Theory. Springer Physica-Verlag, Berlin, 2012.
  2. Atanassov, K., E. Szmidt, J. Kacprzyk. On some ways of determining membership and non-membership functions characterizing intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, Vol. 16, 2010, No. 4, 26–30.
  3. Atanassova, V. Representation of fuzzy and intuitionistic fuzzy data by radar charts. Notes on Intuitionistic Fuzzy Sets, Volume 16, 2010, No.1, 21–26.
  4. Monthly aggregations of temperatures in Bulgaria from NIMH-BAS. http://www.stringmeteo.com/synop/temp_month.php
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